What is the Greatest Common Factor of 96240 and 96253?

Greatest common factor (GCF) of 96240 and 96253 is 1.

GCF(96240,96253) = 1

We will now calculate the prime factors of 96240 and 96253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96240 and 96253.

How to find the GCF of 96240 and 96253?

We will first find the prime factorization of 96240 and 96253. After we will calculate the factors of 96240 and 96253 and find the biggest common factor number .

Step-1: Prime Factorization of 96240

Prime factors of 96240 are 2, 3, 5, 401. Prime factorization of 96240 in exponential form is:

96240 = 2⁴ × 3¹ × 5¹ × 401¹

Step-2: Prime Factorization of 96253

Prime factors of 96253 are 101, 953. Prime factorization of 96253 in exponential form is:

96253 = 101¹ × 953¹

Step-3: Factors of 96240

List of positive integer factors of 96240 that divides 96240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 401, 802, 1203, 1604, 2005, 2406, 3208, 4010, 4812, 6015, 6416, 8020, 9624, 12030, 16040, 19248, 24060, 32080, 48120

Step-4: Factors of 96253

List of positive integer factors of 96253 that divides 96240 without a remainder.

1, 101, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96240 and 96253. The biggest common factor number is the GCF number.
So the greatest common factor 96240 and 96253 is 1.

Also check out the Least Common Multiple of 96240 and 96253